{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "70efe275",
   "metadata": {},
   "source": [
    "# DAY 59"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06adb02a",
   "metadata": {},
   "source": [
    "在之前的学习中，我们层层递进的介绍了时序模型的发展，从AR到MA到ARMA，再到ARIMA。本质就是把数据处理的操作和模型结合在一起了，实际上昨天提到的季节性差分也可以合并到模型中，让流程变得更加统一。\n",
    "\n",
    "季节性差分用S来表示，所以这个模型叫做SARIMA模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e445a084",
   "metadata": {},
   "source": [
    "# 一、SARIMA模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fcd51a77",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "SARIMA (Seasonal AutoRegressive Integrated Moving Average)是标准ARIMA模型的扩展。它专门用于处理具有明显季节性模式的时间序列数据。\n",
    "\n",
    "可以把SARIMA想象成一个“双核”的ARIMA模型：\n",
    "\n",
    "1. 一个非季节性核心，用来处理数据的整体趋势。\n",
    "2. 一个季节性核心，用来处理数据中的周期性模式。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfaebc19",
   "metadata": {},
   "source": [
    "## 1.1 SARIMA模型的参数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "902af5ea",
   "metadata": {},
   "source": [
    "SARIMA模型由两组参数定义：(p,d,q) 和 (P,D,Q,m) \n",
    "\n",
    "ps：注意大小写\n",
    "\n",
    "1. 非季节性部分: (p, d, q) 这里和之前arima一致\n",
    "2. 季节性部分: (P, D, Q, m)，这是一套全新的参数 (P, D, Q, m)。它负责处理序列的长期、周期性的依赖关系。\n",
    "\n",
    "标准写法 SARIMA(p, d, q)(P, D, Q)m\n",
    "\n",
    "这里之所以m单独拿出来，为了在概念上强调 m 的独特性"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb2b1912",
   "metadata": {},
   "source": [
    "m 是舞台，P,D,Q 是演员\n",
    "\n",
    "m 定义了季节性的“舞台”有多大。它不是一个需要通过模型拟合来“学习”的阶数，而是数据本身固有的、预先定义的结构性属性。m可以理解为季节周期。\n",
    "\n",
    "在分析数据之初，我们通过观察或业务常识就能确定m。看到月度数据，我们立刻知道m=12；看到季度数据，我们知道m=4。\n",
    "\n",
    "m 告诉模型：“你要关注的周期性规律是每隔m个时间点重复一次的。” 它为季节性核心 (P, D, Q) 的所有运算提供了基准尺度。\n",
    "\n",
    "\n",
    "(P, D, Q)季节性阶数，它们描述了在这个季节性尺度上，模型的具体行为。\n",
    "\n",
    "- P: 在m的尺度上，需要看过去几个季节的自己？(y_{t-m}, y_{t-2m}, …)\n",
    "- D: 在m的尺度上，需要做几次差分？(y_t - y_{t-m})\n",
    "- Q: 在m的尺度上，需要看过去几个季节的误差？(error_{t-m}, error_{t-2m}, …)\n",
    "这些阶数通常需要通过分析季节性差分后的ACF/PACF图来确定。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8cd7d77f",
   "metadata": {},
   "source": [
    "这里我们强调下（p，d，q）和（P，D，Q）的区别。差别在于它们看的不是上一个时间点，而是上一个季节的同一时间点。\n",
    "\n",
    "普通差分 (d) 是 y_t - y_{t-1} (今天 - 昨天)。季节性差分 (D) 是 y_t - y_{t-m} (今年8月 - 去年8月)。\n",
    "\n",
    "它的作用是消除季节性带来的增长趋势，让季节性数据变得平稳。如果用电量每年夏天都比上一年夏天高，D=1就能消除这个影响。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67f44b38",
   "metadata": {},
   "source": [
    "普通AR (p) 认为 y_t 和 y_{t-1}, y_{t-2}… 相关。季节性AR (P) 认为 y_t 和 y_{t-m}, y_{t-2m}… 相关。也就是说，模型认为今年8月的用电量和去年8月、前年8月的用电量有直接关系。\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f283c124",
   "metadata": {},
   "source": [
    "普通MA (q) 认为 y_t 的误差和 t-1, t-2 时刻的误差相关。季节性MA (Q) 认为 y_t 的误差和 t-m, t-2m 时刻的误差相关。也就是说，模型认为对今年8月的预测误差，可以根据去年8月、前年8月的预测误差来进行修正。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "805f4112",
   "metadata": {},
   "source": [
    "总结：季节性阶数是对比不同季节的同一时刻的差别。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "763fdb29",
   "metadata": {},
   "source": [
    "## 1.2 SARIMA模型的理解"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37e6ef3b",
   "metadata": {},
   "source": [
    "sarima不是单纯的对arima做了一次季节差分，而且做了季节性的一些其他特征捕捉：季节自回归P、季节移动平均Q。\n",
    "\n",
    "SARIMA的完整工作流是这样的：\n",
    "\n",
    "1. 季节性层面分析：模型首先利用 (P, D, Q)m 这一套完整的“季节性ARIMA”来处理数据。它进行季节性差分(D)，然后用季节性自回归(P)和季节性移动平均(Q)来解释季节性平稳后的数据中的模式。这个过程的输出是一个“季节性影响被剥离后”的残差序列。\n",
    "\n",
    "2. 非季节性层面分析：接着，模型再将我们熟悉的 (p, d, q) 应用于第一步产生的残差序列上。它对这个序列进行普通差分(d)，然后用AR(p)和MA(q)来捕捉其中剩余的、短期的、非季节性的模式。\n",
    "\n",
    "总结：SARIMA不是在ARIMA上打个补丁，而是构建了一个与非季节性部分 (p,d,q) 平行且完整的季节性分析系统 (P,D,Q)m。这两个系统协同工作，一个负责宏观的、周期性的规律，另一个负责微观的、短期的波动，最终结合成一个强大而全面的预测模型。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98880cf7",
   "metadata": {},
   "source": [
    "## 1.3 SARIMA实战"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2453133b",
   "metadata": {},
   "source": [
    "### 1.3.1 数据观察"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "25afa92c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- 训练集 ---\n",
      "            Passengers\n",
      "Month                 \n",
      "1959-08-01         559\n",
      "1959-09-01         463\n",
      "1959-10-01         407\n",
      "1959-11-01         362\n",
      "1959-12-01         405\n",
      "\n",
      "--- 测试集 ---\n",
      "            Passengers\n",
      "Month                 \n",
      "1960-01-01         417\n",
      "1960-02-01         391\n",
      "1960-03-01         419\n",
      "1960-04-01         461\n",
      "1960-05-01         472\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "# 显示中文\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "\n",
    "# 1. 加载数据\n",
    "url = 'https://raw.githubusercontent.com/jbrownlee/Datasets/master/airline-passengers.csv'\n",
    "df = pd.read_csv(url, header=0, index_col=0, parse_dates=True)\n",
    "df.columns = ['Passengers']\n",
    "\n",
    "# 2. 划分训练集和测试集（保留最后12个月作为测试）\n",
    "train_data = df.iloc[:-12]\n",
    "test_data = df.iloc[-12:]\n",
    "\n",
    "print(\"--- 训练集 ---\")\n",
    "print(train_data.tail()) # 观察训练集最后5行\n",
    "print(\"\\n--- 测试集 ---\")\n",
    "print(test_data.head()) # 观察测试集前5行"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "72215f5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 3. 可视化原始数据\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(train_data['Passengers'], label='训练集')\n",
    "plt.plot(test_data['Passengers'], label='测试集', color='orange')\n",
    "plt.title('国际航空乘客数量 (1949-1960)')\n",
    "plt.xlabel('年份')\n",
    "plt.ylabel('乘客数量 (千人)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6e8e77b",
   "metadata": {},
   "source": [
    "从图中可以清晰地看到两个特征：\n",
    "\n",
    "1. 长期趋势（Trend）: 乘客数量随着时间推移，呈现明显的上升趋势。\n",
    "2. 季节性（Seasonality）: 数据中存在以年为周期的规律性波动，每年夏季是出行高峰。\n",
    "\n",
    "结论：数据非平稳，且具有强烈的季节性。这正是SARIMA模型的用武之地！"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fe4e831",
   "metadata": {},
   "source": [
    "### 1.3.2 尝试差分阶数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d019746",
   "metadata": {},
   "source": [
    "然后，我们需要确定SARIMA模型参数 (p,d,q)(P,D,Q)m\n",
    "\n",
    "1. 确定季节周期 m\n",
    "数据是月度的，季节性模式是年度的。因此，季节性周期 m = 12。\n",
    "\n",
    "2. 确定差分阶数 d 和 D\n",
    "我们的目标是通过差分使数据平稳。通常先进行季节性差分，再看是否需要普通差分。\n",
    "\n",
    "- 季节性差分 D: 由于有明显的季节性，我们先尝试 D=1。\n",
    "- 普通差分 d: 季节性差分后，可能还存在长期趋势，我们再尝试 d=1。\n",
    "\n",
    "\n",
    "让我们进行 d=1, D=1 的双重差分，并用ADF检验来验证平稳性。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ebd72627",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -15.595618083746334\n",
      "p-value: 1.8565116001234705e-28\n"
     ]
    }
   ],
   "source": [
    "# 进行季节性差分 (D=1, m=12)\n",
    "seasonal_diff = df['Passengers'].diff(12).dropna()\n",
    "# 再进行普通差分 (d=1)\n",
    "seasonal_and_regular_diff = seasonal_diff.diff(1).dropna()\n",
    "\n",
    "# 绘制差分后的数据\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(seasonal_and_regular_diff)\n",
    "plt.title('经过一次季节性差分和一次普通差分后的数据')\n",
    "plt.show()\n",
    "\n",
    "# ADF检验\n",
    "result = adfuller(seasonal_and_regular_diff)\n",
    "print(f'ADF Statistic: {result[0]}')\n",
    "print(f'p-value: {result[1]}') # p-value越小，越说明数据平稳\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b79db0db",
   "metadata": {},
   "source": [
    "差分后的图像看起来像白噪声，围绕0上下波动，没有明显趋势和季节性。\n",
    "\n",
    "ADF检验的 p-value 远小于0.05，强烈拒绝了“数据非平稳”的原假设。\n",
    "\n",
    "结论: d=1, D=1 是一个很好的选择。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c36d0cf",
   "metadata": {},
   "source": [
    "### 1.3.3 可视化确定其余参数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49202137",
   "metadata": {},
   "source": [
    "接下来确定AR/MA阶数 (p,q) 和 (P,Q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5a904c77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制ACF和PACF图\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 8))\n",
    "plot_acf(seasonal_and_regular_diff, lags=36, ax=ax1) # 绘制36个时间点\n",
    "plot_pacf(seasonal_and_regular_diff, lags=36, ax=ax2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3abe3e14",
   "metadata": {},
   "source": [
    "这两张图是基于对原始数据进行了一次普通差分(d=1)和一次季节性差分(D=1, m=12)之后得到的。蓝色的阴影区域是置信区间，任何超出这个区域的“尖峰”都被认为是统计上显著的。\n",
    "\n",
    "需要借助之前学到的截尾、拖尾来判断，但是太难记了，直接超参数搜索吧。我们昨天才说了好的模型AIC比较低。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dca0b5e",
   "metadata": {},
   "source": [
    "### 1.3.4 超参数搜索"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b32746fd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Performing stepwise search to minimize aic\n",
      " ARIMA(0,1,0)(0,1,1)[12]             : AIC=905.419, Time=0.05 sec\n",
      " ARIMA(0,1,0)(0,1,0)[12]             : AIC=905.065, Time=0.01 sec\n",
      " ARIMA(1,1,0)(1,1,0)[12]             : AIC=900.823, Time=0.06 sec\n",
      " ARIMA(0,1,1)(0,1,1)[12]             : AIC=901.721, Time=0.07 sec\n",
      " ARIMA(1,1,0)(0,1,0)[12]             : AIC=899.902, Time=0.02 sec\n",
      " ARIMA(1,1,0)(0,1,1)[12]             : AIC=901.052, Time=0.07 sec\n",
      " ARIMA(1,1,0)(1,1,1)[12]             : AIC=inf, Time=0.35 sec\n",
      " ARIMA(2,1,0)(0,1,0)[12]             : AIC=901.337, Time=0.03 sec\n",
      " ARIMA(1,1,1)(0,1,0)[12]             : AIC=900.971, Time=0.03 sec\n",
      " ARIMA(0,1,1)(0,1,0)[12]             : AIC=900.685, Time=0.02 sec\n",
      " ARIMA(2,1,1)(0,1,0)[12]             : AIC=902.967, Time=0.06 sec\n",
      " ARIMA(1,1,0)(0,1,0)[12] intercept   : AIC=901.457, Time=0.04 sec\n",
      "\n",
      "Best model:  ARIMA(1,1,0)(0,1,0)[12]          \n",
      "Total fit time: 0.823 seconds\n",
      "                                     SARIMAX Results                                      \n",
      "==========================================================================================\n",
      "Dep. Variable:                                  y   No. Observations:                  132\n",
      "Model:             SARIMAX(1, 1, 0)x(0, 1, 0, 12)   Log Likelihood                -447.951\n",
      "Date:                            Wed, 02 Jul 2025   AIC                            899.902\n",
      "Time:                                    12:38:20   BIC                            905.460\n",
      "Sample:                                01-01-1949   HQIC                           902.159\n",
      "                                     - 12-01-1959                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1         -0.2431      0.090     -2.697      0.007      -0.420      -0.066\n",
      "sigma2       108.8757     13.306      8.183      0.000      82.797     134.954\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                   0.02   Jarque-Bera (JB):                 0.57\n",
      "Prob(Q):                              0.89   Prob(JB):                         0.75\n",
      "Heteroskedasticity (H):               1.47   Skew:                            -0.03\n",
      "Prob(H) (two-sided):                  0.23   Kurtosis:                         3.33\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "from pmdarima import auto_arima # 一个方便的自动调参库\n",
    "# 使用auto_arima自动寻找最优模型\n",
    "# 我们告诉它d=1, D=1, m=12是固定的，让它去寻找p,q,P,Q的最优组合\n",
    "# 默认使用AIC作为评估标准\n",
    "auto_model = auto_arima(train_data['Passengers'],\n",
    "                        start_p=0, start_q=0,\n",
    "                        max_p=2, max_q=2,\n",
    "                        m=12,\n",
    "                        start_P=0, seasonal=True,\n",
    "                        d=1, D=1,\n",
    "                        trace=True,\n",
    "                        error_action='ignore',\n",
    "                        suppress_warnings=True,\n",
    "                        stepwise=True)\n",
    "\n",
    "print(auto_model.summary())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b2f4e55",
   "metadata": {},
   "source": [
    "直接看结果：Best model:  ARIMA(1,1,0)(0,1,0)[12]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "964e9545",
   "metadata": {},
   "source": [
    "### 1.3.5 模型诊断"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "432289fb",
   "metadata": {},
   "source": [
    "昨天说了模型通过输出的结果诊断表来诊断，今天补充一个模型诊断图，方便未来写论文可视化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5399de83",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x1200 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 从auto_arima的结果中获取最优参数\n",
    "\n",
    "best_order = auto_model.order\n",
    "best_seasonal_order = auto_model.seasonal_order\n",
    "\n",
    "# 拟合模型\n",
    "model = SARIMAX(train_data['Passengers'],\n",
    "                order=best_order,\n",
    "                seasonal_order=best_seasonal_order)\n",
    "results = model.fit(disp=False)\n",
    "\n",
    "# 打印模型诊断图\n",
    "results.plot_diagnostics(figsize=(15, 12))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92000d51",
   "metadata": {},
   "source": [
    "好的，这是模型诊断图，它的目的是检验我们拟合的SARIMA模型是否“好”。一个好的模型应该能充分提取数据中的所有可预测信息，剩下的残差（residuals）应该看起来像随机的、无规律的白噪声。\n",
    "\n",
    "\n",
    "\n",
    "这张图从四个不同的角度来验证残差是否满足白噪声的假设。我们来逐一解读：\n",
    "\n",
    "1. 左上角：Standardized residual (标准化残差图)\n",
    "看什么？: 这张图展示了随着时间变化的残差值。我们希望看到的是没有明显模式的随机波动。\n",
    "\n",
    "图中表现:残差基本在0值上下波动，没有明显的上升或下降趋势。\n",
    "波动幅度（方差）看起来也比较稳定，没有出现某一时期波动特别大或特别小的情况。\n",
    "有一个点在1958年底附近异常低（接近-3.5），这可能是一个异常值，但整体来看，没有破坏总体的随机性。\n",
    "结论: 通过。残差序列看起来没有自相关性和异方差性，满足了模型假设。（严格意义要通过检验的，不过差不多就行）\n",
    "\n",
    "\n",
    "\n",
    "2.  右上角：Histogram plus estimated density (直方图+核密度估计)\n",
    "这张图检验残差是否服从正态分布。\n",
    "\n",
    "蓝色柱状图 (Hist): 残差的分布直方图。\n",
    "\n",
    "橙色线 (KDE): 核密度估计线，是根据残差数据画出的平滑分布曲线。\n",
    "\n",
    "绿色线 (N(0,1)): 标准正态分布（均值为0，方差为1）的理论曲线。\n",
    "\n",
    "图中表现: 橙色的KDE曲线与绿色的标准正态分布曲线非常接近，蓝色柱状图的形状也大致呈钟形。\n",
    "结论: 通过。残差的分布与正态分布非常吻合，这符合白噪声的假设之一。\n",
    "\n",
    "\n",
    "3. 左下角：Normal Q-Q (正态Q-Q图)\n",
    "这是另一种检验正态分布的强大工具。如果数据服从正态分布，那么图中的蓝色散点应该紧密地排列在红色的对角线上。\n",
    "\n",
    "图中表现:绝大多数的点都非常完美地落在了红线上。只有在尾部（左下角和右上角）有少数几个点略微偏离，这对应了直方图中略厚的尾部和残差图中的个别异常值。\n",
    "\n",
    "结论:  通过。Q-Q图强有力地证明了残差序列基本服从正态分布。\n",
    "\n",
    "\n",
    "4. 右下角：Correlogram (相关图 / ACF图)\n",
    "这是最重要的图之一。它展示了残差序列的自相关性。如果模型已经提取了所有信息，那么残差之间不应该再有任何相关性。也就是说，所有的自相关系数（柱子）都应该落在蓝色的置信区间内（除了lag=0，它自己和自己的相关性永远是1）。\n",
    "\n",
    "图中表现:除了 lag=0 那个必然为1的柱子外，几乎所有其他 lag 的柱子都在蓝色阴影区域内。可能在lag=3或lag=9处有柱子稍微触碰或略微超出边界，但这在统计上是可能发生的（在95%的置信度下，每20个点就可能有1个因随机性而超出），不构成严重问题。\n",
    "结论: 通过。残差序列中没有遗留显著的自相关性。这说明我们的SARIMA模型已经成功捕捉了原始数据中的时间依赖结构。\n",
    "\n",
    "\n",
    "所以模型非常好。这四张诊断图从不同角度反应模型的残差表现出了理想的白噪声特性：\n",
    "\n",
    "- 独立 (ACF图显示无自相关)\n",
    "- 同分布 (残差图显示方差稳定)\n",
    "- 服从正态分布 (直方图和Q-Q图证明)\n",
    "\n",
    "这给了我们很强的信心，可以使用这个模型进行下一步的预测，并且相信预测结果是可靠的。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c423cee2",
   "metadata": {},
   "source": [
    "### 1.3.6 结果预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ac3ee011",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 预测未来12个点\n",
    "predictions = results.get_prediction(start=test_data.index[0], end=test_data.index[-1])\n",
    "pred_mean = predictions.predicted_mean # 预测均值\n",
    "pred_ci = predictions.conf_int() # 预测的置信区间\n",
    "\n",
    "# 绘制预测结果\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(df['Passengers'], label='原始数据')\n",
    "plt.plot(pred_mean, label='SARIMA 预测', color='red')\n",
    "plt.fill_between(pred_ci.index,\n",
    "                 pred_ci.iloc[:, 0],\n",
    "                 pred_ci.iloc[:, 1], color='pink', alpha=0.5, label='置信区间')\n",
    "plt.title('SARIMA模型预测 vs. 真实值')\n",
    "plt.xlabel('年份')\n",
    "plt.ylabel('乘客数量 (千人)')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cda8afc6",
   "metadata": {},
   "source": [
    "红色的预测线与原始数据在测试集部分的走势几乎完美重合！说明它不仅预测了整体的上升趋势，还精准地捕捉到了每一个季节性的波峰和波谷。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "879e23fa",
   "metadata": {},
   "source": [
    "你会看到很多时序论文中，所说的捕捉到波峰和波谷，本质上就是说准确预测季节性。非常多的时序数据都存在季节性。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06bba732",
   "metadata": {},
   "source": [
    "# 二、 多变量时序任务的理解"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edbe91fe",
   "metadata": {},
   "source": [
    "## 2.1 多变量数据"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf9cf6c5",
   "metadata": {},
   "source": [
    "我们之前处理的航空乘客数据就是单变量的。它的特点是：在每个时间点，我们只记录一个值。\n",
    "\n",
    "例子：[时间1: 乘客数A], [时间2: 乘客数B], [时间3: 乘客数C], ...\n",
    "\n",
    "多变量时间序列 (Multivariate Time Series)\n",
    "它的特点是：在每个时间点，我们同时记录多个变量的值。这些变量通常是相互关联、相互影响的。\n",
    "\n",
    "想象一下医院里病人的监护仪。\n",
    "    1. 单变量分析：只看病人的体温随时间的变化。\n",
    "    2. 多变量分析：同时记录病人的体温、心率、血压、呼吸频率随时间的变化。显然，这些指标是相互关联的，综合分析它们能更准确地判断病人的健康状况。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "113c505a",
   "metadata": {},
   "source": [
    "单变量：y_t 是一个标量（一个数字）。\n",
    "\n",
    "多变量：y_t 是一个向量（一组数字）。\n",
    "\n",
    "那如果只是想预测一个变量呢？\n",
    "\n",
    "我们把这个想要预测的变量叫做目标变量（内生变量），其他变量叫做外部变量（外生变量）。\n",
    "\n",
    "也就是说，这些外部变量被视为“特征”，而目标变量被称为“标签”。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "395afbf5",
   "metadata": {},
   "source": [
    "## 2.2 常见的多变量预测模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6a56056",
   "metadata": {},
   "source": [
    "多变量时序预测模型可以分为三大类：\n",
    "\n",
    "1. 经典统计模型 (Classical Statistical Models)：基于严格的统计假设，模型结构清晰，解释性强。\n",
    "2. 机器学习模型 (Machine Learning Models)：将时序问题转化为监督学习问题，灵活性高，能处理复杂关系。--之前已经简单介绍过单变量用机器学习预测，效果很差，主要是模型的算法导致的。\n",
    "3. 深度学习模型 (Deep Learning Models)：专门为序列数据设计，能自动学习复杂的时序模式和长期依赖。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fd8f997",
   "metadata": {},
   "source": [
    "### 2.2.1 经典统计模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6127df6",
   "metadata": {},
   "source": [
    "SARIMAX (Seasonal ARIMA with eXogenous variables)\n",
    "\n",
    "SARIMAX 模型中的“X”就代表“eXogenous”，即“外生变量”。\n",
    "\n",
    "如果说SARIMA是“双核”模型，那么SARIMAX可以看作是一个“三核”模型：\n",
    "\n",
    "- 非季节性核心 (ARIMA部分): (p, d, q)，负责捕捉数据的长期趋势和非季节性自相关性。\n",
    "- 季节性核心 (Seasonal部分): (P, D, Q, m)，负责处理数据的周期性模式。\n",
    "- 外部影响核心 (eXogenous部分): X，负责量化一个或多个外部变量对目标变量的影响。\n",
    "\n",
    "本质上，SARIMAX = SARIMA + 线性回归\n",
    "\n",
    "模型首先像SARIMA一样，分析目标序列 y 自身的历史模式（趋势、季节性等）。\n",
    "然后，它同时建立一个类似线性回归的模型，来评估外生变量 X 是如何影响 y 的。\n",
    "最终的预测结果是这两部分作用的结合。\n",
    "\n",
    "ARIMA模型: y_t = f(过去的y值, 过去的误差)\n",
    "\n",
    "SARIMAX模型: y_t = f(过去的y值, 过去的误差) + β * x_t\n",
    "\n",
    "这里的 y_t 是我们想预测的目标变量在时间 t 的值，x_t 是外生变量在时间 t 的值，而 β 是一个系数，表示 x_t 对 y_t 的影响程度。如果 β 为正，说明 x 和 y 是正相关；如果为负，则为负相关。\n",
    "\n",
    "\n",
    "\n",
    "- 优点:解释性极强，每个外生变量的系数β意义明确。完美融入了季节性处理。\n",
    "- 缺点:严格的单向因果假设：y不能反过来影响X。预测未来时，必须提供未来的X值，这是最大的实践障碍。适用场景: 当因果关系清晰且单向时（如天气影响销量），且未来的X是已知的或可预测的。\n",
    "\n",
    "实际上这是一个很高的要求：\n",
    "1. 单向因果假设，这要求了了数据含义相对简单，不存在循环依赖。\n",
    "2. 要求未来的x可以预测，这说明未来的x和过去的x关系必须简单，否则很难得到未来的信息，比如特征是周几，今天是周一，那么未来明天必定是周二。\n",
    "\n",
    "实际上现实中，很多数据非常复杂，特征存在循环依赖，且不可预测。一些好的解决方案如下：\n",
    "1. 解决循环依赖问题，搞清楚因果关系，这里涉及到了因果分析框架，希望未来有机会和大家说。因果分析+机器学习 乱杀\n",
    "2. 未来的特征不好获得，只有简单的问题才能满足"
   ]
  },
  {
   "attachments": {
    "image.png": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "07e8e2f1",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78882fa3",
   "metadata": {},
   "source": [
    "这里我们需要介绍下因果关系，之前大家接触的机器学习任务不考虑因果关系，他只关注特征和标签的相关关系。--这里浅浅的为未来我们可能提及的因果推断埋下伏笔\n",
    "\n",
    "然而，相关不等于因果，比如 冰淇淋的销量与溺水死亡人数呈正相关。但这并不意味着吃冰淇淋会导致溺水。因为这两者都与一个潜在的第三方因素——季节（天气炎热）——有关。炎热的天气既促使人们购买冰淇淋，也使更多人去游泳，从而增加了溺水的风险。\n",
    "\n",
    "机器学习的解释性方法，如shap是源自于博弈论的原理，并不考虑因果，所以得出的结论可能实际意义有误。\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "25d8ed44",
   "metadata": {},
   "source": [
    "现实中的双向依赖（循环依赖）比比皆是，比如：\n",
    "- 广告投入 和 销售额：广告投入（X）能提升销售额（y），但反过来，销售额的增长（y）可能会让公司有更多预算，从而增加广告投入（X）。\n",
    "- 利率 和 通货膨胀：央行提高利率（X）是为了抑制通货膨胀（y），但通货膨胀率（y）本身就是央行调整利率（X）的最重要依据。\n",
    "\n",
    "在这种场景下，强行将一个变量设为外生变量（X），另一个设为目标变量（y）是不合适的。\n",
    "\n",
    "由于sarimax的单向因果关系，所以为了解决循环依赖这种问题，经典时序统计模型VAR 模型就是为了解决这个问题而生的。\n",
    "\n",
    "VAR 模型不再区分“内生（目标）”和“外生（特征）”变量。它把系统中的每一个变量都看作是内生变量，相互影响，相互依赖。\n",
    "\n",
    "核心思想： 系统中的每个变量，都可以用系统内所有变量的过去值来预测。\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe52c3fa",
   "metadata": {},
   "source": [
    "### 2.2.2 机器学习模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff5a0ed4",
   "metadata": {},
   "source": [
    "这类方法通过滑动窗口技术，将时序问题转化为表格化的监督学习问题。\n",
    "\n",
    "基于树的模型 (XGBoost, LightGBM, Random Forest)\n",
    "- 核心思想: 用滞后值（y_{t-1}, y_{t-2}…）和其他变量（x1_{t-1}, x2_t…）作为特征，来预测y_t。\n",
    "- 如何工作:创建大量的滞后特征、窗口统计特征（如过去7天的平均值、标准差）、时间特征（星期几、月份）。\n",
    "- 将所有变量（无论内外生）都看作是特征。训练一个强大的梯度提升树模型。\n",
    "- 优点:性能卓越，在很多Kaggle时序竞赛中胜出。能自动捕捉非线性和复杂的交互关系。对特征的类型和规模不敏感，无需平稳性假设。\n",
    "\n",
    "但是我们之前说了，如果你能够对数据加工的更好，当然会让结果更好，期待模型自己发觉规律，也要搭配好的特征工程。所以在很多论文中可以看到如下思路：\n",
    "\n",
    "sarima作为特征提取器，预测趋势、季节性，然后剩下的残差用XGBoost或者LightGBM进行预测。这样会大大加大准确率。\n",
    "\n",
    "因为统计模型对于数据量的要求相对较低，而机器学习深度学习需要大量的数据驱动，这个时候让统计模型提取出来这些线性部分，然后让非线性部分交给深度学习模型来做，会大大加大预测效果。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4f61946",
   "metadata": {},
   "source": [
    "### 2.2.3 深度学习模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1a6872e",
   "metadata": {},
   "source": [
    "统计学模型的使用，需要严格的假设检验过程，使用深度学习模型（如LSTM、GRU、Transformer）可以让你避免对数据进行这些“繁琐”的假设检验。\n",
    "\n",
    "它没有预设的专用工具，而是拥有一个极其强大的、通用的学习引擎和海量的传感器（神经网络）。你直接把一整根原木（原始数据）给它，它会自己通过观察和学习，理解这根木头的纹理、弯曲、湿度（即趋势、季节性、自相关性等复杂模式），并直接学会如何切割它来完成任务。------深度学习是“数据驱动”的：它是一个“万能函数拟合器”。理论上，只要有足够多的数据和合适的网络结构，它可以拟合出任意复杂的函数关系。它不关心数据是否平稳，而是直接从数据中学习这些“不平稳”的模式本身。趋势和季节性在它看来，不是需要消除的“问题”，而是需要学习的“特征”。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17dfb396",
   "metadata": {},
   "source": [
    "同理，好的特征提取仍然可以帮助深度学习提取特征，同时也可以给其参数提供建议。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04df4b29",
   "metadata": {},
   "source": [
    "ACF/PACF图帮你选择sequence_length：\n",
    "ACF/PACF图告诉你一个值和它过去多少个值有关系。比如，如果ACF图显示季节性周期是12，那么你在设置LSTM的“回看窗口”(sequence_length)时，把它设为12或其倍数，可能会是一个非常好的起点。\n",
    "\n",
    "平稳性检验帮你做特征工程：\n",
    "如果你通过检验发现数据有强烈的趋势，即使LSTM能学，你也可以通过一些简单的处理来“帮助”它学得更好、更快。比如：\n",
    "\n",
    "差分：对数据做一次差分，然后让LSTM去预测这个“变化量”，最后再把结果加回去。这常常能让模型训练更稳定。\n",
    "添加时间特征：把“月份”、“星期几”作为额外的特征输入给模型，等于明确地告诉模型：“注意，这里面有周期性规律！”，帮助它更快地捕捉到季节性。\n",
    "\n",
    "先让“结构工程师”（分解模型）把宏观的、确定的趋势和季节性部分拿走。\n",
    "然后，把剩下的、更接近平稳的、但仍然包含一些微弱信息的“残差”，交给“精装修师傅”（ARIMA）去处理。\n",
    "最后，将两部分的工作成果合起来，得到最终的精美成品（预测结果）。\n",
    "\n",
    "```\n",
    "预测流程：\n",
    "原始数据 → [分解] → 趋势(T) + 季节性(S) + 残差(R)\n",
    "↓\n",
    "[分别预测]\n",
    "↓\n",
    "预测的趋势(T_hat) + 预测的季节性(S_hat) + 预测的残差(R_hat)\n",
    "↓\n",
    "[相加合并]\n",
    "↓\n",
    "最终的预测值\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba576a2d",
   "metadata": {},
   "source": [
    "# 三、 课程收尾总结"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43a61ce0",
   "metadata": {},
   "source": [
    "## 3.1 心得总结"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "592d7d3f",
   "metadata": {},
   "source": [
    "至此，我们训练营的内容到这里就宣告结束了，知识密度基本覆盖了之前复试课的90%的知识点（NLP内容、RNN变体实在来不及说了），day60将会是自由学习（复习日），打卡训练营更新到现在，确实不容易，也没想到能完成工作量这么庞大的一次积累，也很感谢能够坚持到这里的各位，说一些打卡训练营的一些心得。\n",
    "\n",
    "1. 在这个训练营中其实我的个人能力也是提升的，这是实话，因为过去在科研中，很多问题我知道如何做的，但是我并没有体系化的思考过这样做的原因，接着这次机会也让我把整个体系给串起来，个人觉得逻辑是完全闭环，该重点交代的都交代了，不至于出现知识点断层的情况。这也是为什么你们能看到很多人做的感觉很高大上，但是仔细去研究发现他甚至有一些逻辑上的错误，这是因为他没有扎实的基础，对很多问题在基础的认识上就有问题。\n",
    "\n",
    "2. 学习是需要持续性的，之前大家肯定看到很多所谓的速成xxx，但是实际你思考下，哪怕是一个小的专题，比如时序预测的小demo，粗略估计没有十多天的内容你都没法理解整个闭环的流程，比如为什么和arima做对比？为什么用arima做特征工程？很多知识背后有很多隐知识在里面，只有实践和思考才能真正理解这些问题，这里只能堆时间，而且只有持续的堆时间才不至于下次重来------工科就是一个堆时间的科目，任何的短期捷径到后面肯定要付出双倍的时间。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79aebb32",
   "metadata": {},
   "source": [
    "## 3.2 一些后续的交代"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1ca0725",
   "metadata": {},
   "source": [
    "篇幅和设备限制，有一些任务必须搭配视频才能讲清楚，比如多个文件协同的任务等，会在科研班的后续提到，科研班的人工智能进阶部分也会沿用目前的这个体系化的形式更新\n",
    "\n",
    "代码+讲义（体系化梳理）+视频，这样每个大的知识点拆成多个小知识点的方式会极大提高输出的知识密度和逻辑闭环的可能性。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0c3bb0c",
   "metadata": {},
   "source": [
    "本期训练营之前的知识点还有一些由于篇幅问题无法交代，我会在科研班中交代，这里我列举出来一些和目前内容接轨的知识点，如果没有在科研班的同学建议大家自行学习：\n",
    "\n",
    "1. 服务器的远程使用\n",
    "2. py文件训练时命令行的参数（文件中定义main（args），在通过parser.add_argument\n",
    "即可使用）\n",
    "3. tansfomer架构的代码解读\n",
    "4. 张量维度变换的总结\n",
    "5. git工具的使用\n",
    "6. optuna超参数优化框架\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "919a447a",
   "metadata": {},
   "source": [
    "最后祝大家前程似锦！读研顺利！"
   ]
  }
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